Subjects algebra

Computers In Homes Da7De1

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1. **State the problem:** We know that about 13 out of 20 homes have a personal computer. We want to find how many computers we expect on a street with 60 homes. 2. **Set up the proportion:** The ratio of homes with computers to total homes is \( \frac{13}{20} \). We want to find the number \( x \) of homes with computers out of 60 homes, so: $$ \frac{13}{20} = \frac{x}{60} $$ 3. **Solve for \( x \):** Cross-multiply: $$ 13 \times 60 = 20 \times x $$ $$ 780 = 20x $$ 4. **Isolate \( x \):** Divide both sides by 20: $$ \cancel{20}x = \frac{780}{\cancel{20}} $$ $$ x = 39 $$ 5. **Interpretation:** We expect about 39 homes to have a personal computer on a street with 60 homes. **Final answer:** \( 39 \) homes have computers.